Rydberg crystallization detection by statistical means

Abstract

We investigate an ensemble of atoms which can be excited into a Rydberg state. Using a disordered quantum Ising model, we perform a numerical simulation of the experimental procedure and calculate the probability distribution function $P(M)$ to create a certain number of Rydberg atoms $M$, as well as their pair correlation function. Using the latter, we identify the critical interaction strength above which the system undergoes a phase transition to a Rydberg crystal. We then show that this phase transition can be detected using $P(M)$ alone.Comment: 7 pages, 9 figure

Full Counting Statistics of Laser Excited Rydberg Aggregates in a One-Dimensional Geometry

“…Recently there has been a lot of theoretical work focusing specifically on low-dimensional systems in which longrange correlations can build up without the need for adiabatic preparation. Both resonant [20][21][22][23][24] and off-resonant [25-30] excitation have been considered, which feature different mechanisms leading to the formation of correlated structures.Here we report the excitation of strongly correlated structures, which we call Rydberg aggregates, in a quasione-dimensional geometry. We make use of the full counting statistics (FCS) of the Rydberg atom number to characterize the many-body system, which serves as a complementary approach to direct imaging of spatial correlations [12,13,31].…”

Dynamic formation of Rydberg aggregates at off-resonant excitation

“…This is motivated not least by experimental progress [5,6] and theoretical proposals [7,8] for spatially resolved excitation imaging. Also on the theoretical side, in particular rate equation models [9][10][11][12] and full many-body simulations on truncated Hilbert spaces [13][14][15][16][17][18][19][20][21][22][23] provide a handle to access spatially resolved properties.…”

Signatures in the Conductance for Phase Transitions in Excitonic Systems

“…The excitons can now be either excited or not which allows to map the system to a two-level system of N randomly arranged interacting spin-1/2 systems. The Hamiltonian reads 8,27…”

“…in which C describes the strength of the mutual dipoledipole repulsion. 8,27 The inclusion of such a term leads to the formation of a Wigner crystal of the excitons at strong enough interaction C. The strength of the interaction needed has been discussed in the literature using different numerical procedures. 8,10 The formation of such a Wigner crystal at a certain interaction strength C * leads to crystallization of of the electrons themselves and therefore the number of free charge carriers as calculated in Eq.…”